Explain how making a factor 100 times the size affects the product
Lesson details
Learning outcome
I can explain how making a factor 100 times the size affects the product.
Key learning points
- If one factor is made one hundred times the size, the product will be one hundred times the size.
- One factor has been multiplied by 100 so the product is multiplied by 100
- When multiplying two numbers, if either factor is made 100 times the size, the product will be 100 times the size.
- 6 multiplied by 300 is equal to 600 multiplied by 3 or 6 hundreds multiplied by 3
Keywords
Factor - A factor is a number which exactly divides another whole number.
Product - A product is the result of two or more numbers multiplied together.
Common misconception
Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.
Smaller multiplications can be used with Base 10 to model scaling to start off with. Try 2 × 1 or 3 × 1 scaling up to become 2 × 100 or 3 × 100 with Base 10 and then put this modelling side-by-side with place value counters to make the links.
Teacher tip
Times table knowledge is very useful in this lesson. If you've pupils whose times table knowledge is less secure, give them a times tables grid to use so that they can focus on the key learning in the lesson. You could also plan to use examples involving times tables with which they are familiar.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the numbers in the following equation are factors? 4 × 12 = 48
Q2.Match the times table expressions with the correct product.
35
27
24
12
Q3.Which of these times table facts is being shown by the array?
Q4.Match the expressions showing commutativity.
4 × 6
7 × 9
6 × 8
3 × 2
Q5.Tick the expressions that this array is showing.
Q6.True or false? To multiply a whole number by 100, place two zeros after the final digit of that number.
Assessment exit quiz
6 Questions
Q1.True or false? If one factor is made 100 times the size the product will be 100 times the size.
Q2.Match the equations to the related multiplications with a factor 100 times the size.
6 × 900 = 5,400
400 × 7 = 2,800
8 × 500 = 4,000
7 × 300 = 2,100
Q3.Match the expressions with the same value.
900 × 3
400 × 6
7 × 1,200
400 × 8
Q4.5 × 600 =
Q5.800 × 7 =
Q6.4 classes each raise £700 for charity. How much have they raised altogether? £
To help you plan your 4 maths lesson on: Explain how making a factor 100 times the size affects the product, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Explain how making a factor 100 times the size affects the product, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Understand what happens when a number is multiplied or divided by 10 and 100 unit, dive into the full primary maths curriculum, or learn more about lesson planning.